Wind Friction Speeds for Particle Movement - Semantic Scholar

Vol.

3, No. 8

Geophysical

MARS:

WIND

Research

FRICTION

SPEEDS

Letters

August

FOR PARTICLE

1976

MOVEMENT

R. Greeley

University

of Santa Clara Moffett

and NASA-AmesResearch Center

Field, B.

Department of Mechanical

White

Engineering, Davis,

of Aerospace

J.

Space Sciences

Iversen

Iowa

Field,

speeds

require free-stream winds of 50 to 135 m/sec,

depending on the character of the surface and the atmospheric conditions. The corresponding wind speeds at the height of the Viking lander meteorology instrument would be about a factor the

free

stream wind

size most easily

conditions.

grains;

thus,

most research

speed.

sented

moved by winds

as

"threshold"

hold friction

and smaller than this (at least down to about 5 •m) require stronger winds to initiate movement. The results presented here are in general

of a particle

agreementwith previously reported values of V, t

where

ß is

fluid

density.

particle.

eolian activity

fr øm Mariner

of

dust

9 have

storms

on

that

relate

to the diameter

thres-

of the

The thresholdfriction velocity (V,t) is the friction

speed (V,) needed

grain movement. V, = • the

surface

shear

stress

V, is directly

and

P is

proportional

the

to

the wind speed for a neutral adiabatic atmosphere; at an ambient pressure of 5 mb, the free stream velocity is about 17 times the friction speed in the wind tunnel.

IntrOduction

observations

curves

velocity

to initiate

for particles 12 •m to 300 •m derived from one atmosphere tests, but are inconsistent with values for particles larger than about 300 •m.

Earth-based

has concentrated

the conditions (wind speeds, etc.) needed to initiate saltation. Results typically are pre-

on Mars is about 160 •m; particles both larger

Mars and results

Center

CA 94035

Winds transport particles by saltation (bouncing grains), surface creep, and suspension.' Particles on Earth are most easily moved by saltation, with both surface creep and suspension resulting primarily from the impact of saltating

the minimum V,t is about2.5 m/sec,whichwould

than

NASA-Ames Research

near-martian

a low pressure boundary layer wind tunnel at an atmospheric pressure of 5.3 mb. The results imply that for comparable pressures on Mars,

of two less

University

This report presents preliminary results of wind tunnel simulations of particle movement Under

(V,t) for particle movement weredeterminedin

The particle

Iowa State

50011

Pollack

Division,

Moffett

threshold

CA 94035

Engineering,

Ames,

Wind friction

at Davis

Leach

Field, J.

Abstract.

of California

of Santa Clara and NASA-AmesResearch Center Moffett

Department

University

CA 95616

R.

University

CA 94035

on

On Earth there is an optimum grain size for movement by minimum Winds, with stronger winds needed for movement of both larger and' smaller grains. The reason for the "upturn" in the threshold curve (fig. 1) for the smaller grains is poorly known, but appears to be related primarily to interparticle forces (e.g., cohesion),

shown that

is .an important surface-modify'

ing process on Mars and have prompted interest in the nature of wind-blown particles. Interest in eolian processes is heightened by the Viking mission that will place two spacecraft in orbit and two landers on Mars this summer. Knowledge of the physics of particle movement in the martian environment is required to understand the generation of dust storms, rates of erosion and deposition, and other geological processes.

as well as aerodynamic effects

(Iversen

et al.,

1976).

Nearly

all

predictions

of martian

threshold

friction speeds (Sagan and Pollack, 1969, Arvidson, 1972, Greeley et al., 1974, and others) are

Copyright 1976 by the American Geophysical Union

based on wind tunnel 417

experiments

conducted at

418

Greeley 6

Wind Friction

Speeds

-

>-

nominal Mars case), the wind velocity

•X/ IVERSEN etal., 1976

O

O

et al.:

creased

until

o

particles.

I

I

I

I

I IIII

I

10

I

1.

Threshold

le.•z et al.,

1000

DIAMETER,/•m

friction

velocities

ob-

Also

shown

is

the

speed for the particle

stream

tested (Gree-

threshold

Materials

used in

the

threshold

tests

are shownin Table 1.

and their

Although

there is no single material that satisfies test parameters for simulating Mars, this of samples is considered a suitable "first mate," based on the following rationale:

(white circles; size range indicated by bars). Black symbols indicate samples that were run in a dried state; squares indicate samples of sizes.

free

1974).

characteristics

tained in the wind tunnel at an atmospheric pressure of 5.3 mb for walnut shell particles

mixed

of the measured

I I I III

100

PARTICLE

Figure

I

The value

hold friction

ELEY et al " 19

2

slowly in-

was observed.

wind velocity at threshold was then correlated with the boundary layer profile to obtain a thres-

¸ SAGAN AND BAGNOLD, 19757• -r I--

threshold

The criteria for determining threshold follow those of Bagnold (1941); threshold is defined as the movement of particles over the entire bed, rather than the movement of only a few individual

_o'• 4

.

grain

curve

on Mars is

0.38

less

required

force

ment.

of Iversen et al. (1976), based on 1 bar wind tunnel experiments extrapolating the low pressure conditions and taking into account interparticle forces and lift coefficients; the

Mars, Mars

For

that

tests

grains should

Earth,

which

to initiate

conducted

0.38 be

of

on

Gravity

results

particle Earth

all suite esti-

to

in

movesimulate

as dense as those expected on

used

to

offset

the

difference

in

1 bar and extrapolated to the martian environment. The most important parameter in the extrapolation is atmospheric pressure -- the low pres-

gravity. Given the known geological environment on Mars, wind blown particles with specific gravities of 2.6 to 3.0 are reasonable; for threshold simulations on Earth, the corresponding material specific gravities should be •1.0 to 1.2. Walnut shells were selected as appropriate particles for the primary series of tests because they have a specific gravity of 1.1, can be ground and sorted into different sizes, and the particles have about the same angular shape as natural eolian material

sures on Mmrs (•1 to 10 mb) require substantially stronger winds to move particles than on Earth. The basic physics of wind-blown particles is pre-

(sand and loess). Because the shape of the ground walnut shells is comparable to natural aeolian material, the lift and drag coefficients should

sented in the classic work by Bagnold (1941), but

also be comparable.

curve of Greeley et al. these

parameters

into

(1974)

does not take

account.

the relative

importance

of individual

such as lift

coefficients and cohesion is poorly

known. Yet, an understanding is critical for extrapolations

parameters

of these parameters to Mars. Although

An important factor in particle

threshold is

the effect of cohesion from adsorbed moisture and from other surface forces. This effect increases

someexperiments have been conducted at 1 bar

with sinroller particles

which take these parameters into account (Iversen et al.., 1976), current extrapolations to Mars

mass ratio increases. To determine if cohesion from moisture is the primary cause for the "upturn" in the threshold curve for small particles

produce widely divergent results because of uncertainties in knowledge of forces on small particles at low pressure. Wind

Tunnel

Simulations

lished

at

NASA-Ames

Research

Center

in

which

threshold experiments can be conducted under conditions approximating those of Mars except for the differences in gravity and atmospheric composition. Experiments were run by placing a patch of grains in the tunnel test section and, under the desired atmospheric pressure (5.3 mb for the TABLE

MATERIALS MATERIAL

and to assess the effect at low pressure, several particle tests were conducted in which the samples were dried by heating and then tested in the tunnel.

Because of the uncertainties in particle movement on Mars, a low pressure wind tunnel was estab-

SPECIFIC

since the surface area-to-

The

test

bed

of

the

tunnel

was heated

Because not all parameters involved in martian eolian processes can be simulated in wind tunnel tests on Earth, it is necessary to use a combination of theory and wind tunnel results for extrapolation to Mars. Before the extrapolation is made, however, as much of the theory as possible should be tested. The expressions derived by 1

USED FOR THRESHOLD TESTS

GRAVITY

SIZE

RANGE, •4m

SHAPE

,

Walnut shell Calcium carbonate

1.1 2.7

Glass microspheres

2.7

Talc

3.0

to

the temperature that kept the sample dry but did not affect the boundary layer.

20-700 20-500 40-300 5-

20

angular subrhombohedra

1

spherical

angular

to platy

Greeley

et

al.:

Wind Friction

Speeds

419

Iversen et al., (1976) for extrapolation to Mars take into account interparticle forces, surface roughness, lift coefficients, and other parameters, but are based on wind tunnel tests performed

at

1 bar

and

contain

uncertainties

as

-

110

100

30(

to

25(

the behavior of particles under low pressure. These expressions were tested against the wind tunnel experiments performed at 5.3 mb (fig. 1) and found to be in good agreement, particularly in the critical particle size range of 30 to 200 •m. The cause of the divergence of the test results and the theory for large particles, however, is unresolved. Future experiments will focus on both larger and smaller particles than those used in these experiments.

7o

20(



2.5mb 60 "•

/• 15( 5o •

•:

50mb



10.0mb

4o :>•

1 o(

50

Results

and

Conclusions --

Figure 1 shows threshold results performed at low pressure, but with Earth air; figure 2 shows

threshold

wind

friction

velocities

o

to

Mars

based

on the

results

of

for

Mars:

over a flat

1.

Minimum threshold friction

layer)

velocity

conditions smooth this cor-

stream (above the boundary

of about 125 m/sec.

Corres-

ponding wind speeds at the height of the Viking meteorology instrument would be about half the free stream wind speed. These values could be substantially lower, however, depending on the nature of the surface. For example, if large non-erodible

present,

elements

such

then the same V,•

as

cobbles

I

III

o

0

1ooo

(Vgt) basedon atmospheric modelsby Pollack (1976); Case 1 is for winds blowing

cobbles

minimum V,t is about2.5 m/sec. Usingthe

responds to a free

I

smooth surface composed of erod-

ible grains, Case 2 is for a surface containing

For a

of 5 rob, the

expressions for martian atmospheric (Pollack et al., 1976a) for a flat, surface composed of loose particles,

I

(above the boundary layer) wind velocities

for

pressure

I

scales on right are equivalent free stream et al.

surface

I

Figure 3. Martian particle threshold curves as a function of particle size at three pressures. Scale on left is V,• in cm/sec, two

Iversen

speed.

I I • •1 1oo

et al. (1976) using the appropriate values for kinematic viscosity and density for the martian atmosphere. Several results are significant

nominal martian

I

PARTICLE DIAMETER,

four atmospheric pressures, demonstrating the dependence of threshold on pressure. Figure 3 is an extrapolation of the wind tunnel results

I

lO

10

are

could be generated

by windsone third to oneChalfthat given

and small

boulders.

above (fig. 3). These minimum free stream winds are significantly higher than typical speeds on Mars obtained from general circulation calculations; however, such winds are predicted to occur occasionally (Pollack et al., 1976b). 2. Small particle threshold. Sagan and Baghold (1975) recently extrapolated particle threshold velocities to Mars based on experiments of cohesion-free particle transport. They suggested that particle cohesion due to impact vitrification, vacuum sintering, and adsorbed thin films of water

might

particles

be absent

on Mars,

and that

small

(• 1 •m) might be more easily moved than

100 •m particles. Low pressure wind tunnel results performed with dried samples and in the ab-

7 mb

sence of impact

5.3

ing still show an "upturn" in the threshold curve for small particles (fig. 1). Thus, if grain

6.5

movement is observed on the martian surface,

vitrification

and vacuum sinter-

minimum V,t at 5 mbis 2.5 m/secand wind speeds near the s6rface on the order of 25 to 75 m/sec should be expected. These estimates are based on particle threshold taking place on a flat surface; local topography such as raised-rim

7.9

10.5

craters

could initiate

threshold

at

lower wind

speeds as a result of local vortiCies, cussed by Greeley et. al. (1974).

3. 2 10

I

I

I

I

I I I I I

I

I



• • • • •1

100

1000

PARTICLE DIAMETER,/•m

on

pressure.

velocities

The particle

size

most easily moved (at a•m minimum Mars appears to be about 160 (fig. V•f) oron nearly twice as large as the optimum particle

on Earth.

size

Whensaltation begins, both larger

and smaller particles

Figure 2. Threshold curves for particles obtained in the wind tunnel for four pressures, showing the dependence of threshold

Optimumpa.rticle size.

as dis-

will

be set into motion.

The values of threshold speeds presented here represent the first series of experiments performedin a large, low pressure, boundary

420

Greeley

et al.:

layer wind tunnel and should be regarded as preliminary. Further refinements of the threshold

curve

and larger

and

particles

Acknowledgement.

extension

to

both

smaller

are in progress.

This work was supported

Re ferences

Arvidson, R. E., 1972. Aeolian processes on Mars: Erosive velocities, settling velocities, and yellow clouds. Geol. Soc. Am.

Bull. 83, 1503-1508. Bagnold, R. A., 1941. The Physics of Blown Sand

and

R.,

Desert

Dunes.

J. D. Iversen,

London:

Methuen.

J. B. Pollack,

N. Udovich, and B. White, 1974. Wind tunnel studies of martian aeolian processes. Proc. R. Soc. London A. 341, 331-360.

Iversen,

J. D.,

J. B. Pollack,

B.

Speeds

R. White,

1976.

Saltation

threshold

R. Greeley,

on

Mars: The effect of interparticle force, surface roughness, and low atmospheric

density. In press, Icarus. Pollack, J. B., R. Haberle, R. Greeley,

by the Planetary Geology Program Office, National Aeronautics and Space Administration.

Greeley,

Wind Friction

Iversen,

1976a.

Estimates

of

J.

the wind

speeds required for particle motion on Mars. In press, Icarus. Pollack, J. B., C. B. Leovy, Y. H. Mintz, and W. VanCamp, 1976b. Winds on Mars during the Viking season..predictions based on a general circulation model with

topography.

Submitted to Geophys. Res.

Letters.

Sagan,

C. and J.

B. Pollack,

1969.

Wind-

blown dust on Mars. Nature, 223, 791-794. Sagan, C. and R. A. Bagnold, 1975. Fluid transport on Earth and aeolian transport on Mars.

Icarus

(Received accepted

26,

209-218.

June June

9, 1976; 23, 1976.)

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